• SJSU Singular Matrix Database
  • Matrix group: Mallya
  • Click here for a description of the Mallya group.
  • Click here for a list of all matrices
  • Click here for a list of all matrix groups


  • Matrix: Mallya/lhr17
  • Description: Light hydrocarbon recovery. OK if illconditioned,from a nonlinear solvr
  • download as a MATLAB mat-file, file size: 3 MB. Use SJget(409) or SJget('Mallya/lhr17') in MATLAB.
  • download in Matrix Market format, file size: 3 MB.
  • download in Rutherford/Boeing format, file size: 4 MB.

    Mallya/lhr17

    A singular value of A is guaranteed1 to be in the interval pictured by the blue bars around each of the calculated singular values.

    Routine svds_err, version 1.0, used with Matlab 7.6.0.324 (R2008a) to calculate the 6 largest singular values and associated error bounds.
    Routine spnrank, version 1.0 with opts.tol_eigs = 1e-010, used with Matlab 7.6.0.324 (R2008a) to calculate singular values 17180 to 17185 and associated error bounds.

    Mallya/lhr17

    dmperm of Mallya/lhr17

    scc of Mallya/lhr17

    Matrix properties (click for a legend)  
    number of rows17,576
    number of columns17,576
    structural full rank?yes
    structural rank17,576
    numerical rank 17,182
    dimension of the numerical null space394
    numerical rank / min(size(A))0.97758
    Euclidean norm of A 19.913
    calculated singular value # 171821.3783e-010
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    6.2442e-011
    calculated singular value # 171832.8257e-011
    gap in the singular values at the numerical rank:
    singular value # 17182 / singular value # 17183
    4.8776
    calculated condition number-2
    condest4.1717e+036
    nonzeros379,761
    # of blocks from dmperm1,807
    # strongly connected comp.31
    entries not in dmperm blocks24,089
    explicit zero entries2,214
    nonzero pattern symmetry 0%
    numeric value symmetry 0%
    typereal
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

    authorJ. Mallya
    editorT. Davis
    date1994
    kindchemical process simulation problem
    2D/3D problem?no
    SJid409
    UFid746

    Additional fieldssize and type
    bfull 17576-by-1

    Ordering statistics:AMD METIS DMPERM+
    nnz(chol(P*(A+A'+s*I)*P'))33,691,522 23,310,145 801,094
    Cholesky flop count1.7e+011 6.5e+010 6.4e+007
    nnz(L+U), no partial pivoting67,365,468 46,602,714 1,608,701
    nnz(V) for QR, upper bound nnz(L) for LU812,224 960,291 529,527
    nnz(R) for QR, upper bound nnz(U) for LU1,670,800 2,024,541 1,195,300

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 2214 explicit zero entries.

    Maintained by Leslie Foster, last updated 24-Apr-2009.

    Entries 5 through 14 in the table of matrix properties and the singular
    value plot were created using SJsingular code. The other plots
    and statistics are produced using utilities from the SuiteSparse package.
    Matrix color plot pictures by cspy, a MATLAB function in the CSparse package.